There is a close relationship between the universal tropical Jacobian \(\mathcal {J}^{trop}_{g,n}\)  over \(\operatorname{\bf {RPCC}}\)  (see Definition REF ) and the above defined universal tropical Jacobian \(\widetilde{\mathcal {J}}^{trop}_{g,n}\)  over \(\operatorname{\bf {LSch}}\) , that we now want to explain. As explained in [1]}, there is an equivalence of 2-categories
\(a^*:\big \lbrace \text{Cone stacks}\big \rbrace  {\cong }\big \lbrace \text{Artin fans over } k\big \rbrace ,\) 
